Re: A few questions

Thnk you gAr One question, if I get such a question in an exam shall I have to write out all the possible combinations?

Last edited by Agnishom (2013-01-16 01:42:40)

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.''God exists because Mathematics is consistent, and the devil exists because we cannot prove it'I'm not crazy, my mother had me tested.

Re: A few questions

Hi,

I think you can only mention about the remainders, number of such combinations and the pigeonhole principle.But I'm a bit confused about the minimum of such numbers required to guarantee that no three numbers form a cube, because we can see that taking three consecutive numbers there is also a cube.

Anyway, a good question, is it from a question paper?

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?

Re: A few questions

Yes. It is

Last edited by Agnishom (2013-01-16 14:21:40)

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.''God exists because Mathematics is consistent, and the devil exists because we cannot prove it'I'm not crazy, my mother had me tested.

Re: A few questions

Title pf means?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.''God exists because Mathematics is consistent, and the devil exists because we cannot prove it'I'm not crazy, my mother had me tested.

Re: A few questions

WellI am not taking them from a book instead I am asking them from various olympiad questions

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.''God exists because Mathematics is consistent, and the devil exists because we cannot prove it'I'm not crazy, my mother had me tested.

Re: A few questions

Hi gAr and Agnishom;

I have the flu and I am not as sharp as usual. I did mean of, sorry.

What I meant is Olympiad problems have numbers and state what Olympiad they are from. They also have answers to them that I can look up so you can study them. gAr's answer is the one I was working on also but he got there first.

In mathematics, you don't understand things. You just get used to them.If it ain't broke, fix it until it is.No great discovery was ever made without a bold guess.

Re: A few questions

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.''God exists because Mathematics is consistent, and the devil exists because we cannot prove it'I'm not crazy, my mother had me tested.

Re: A few questions

bobbym wrote:

I have downloaded some more pdfs but so far nothing to help us.

Regarding what?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.''God exists because Mathematics is consistent, and the devil exists because we cannot prove it'I'm not crazy, my mother had me tested.

Re: A few questions

Question 11: How many digits does 5^44 have?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.''God exists because Mathematics is consistent, and the devil exists because we cannot prove it'I'm not crazy, my mother had me tested.

Re: A few questions

Actually, they said "without using a calculator"

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.''God exists because Mathematics is consistent, and the devil exists because we cannot prove it'I'm not crazy, my mother had me tested.

Re: A few questions

Hi Agnishom

You can still use that.

The number of digits of a number is floor(log_10(that number))+1.

Here lies the reader who will never open this book. He is forever dead.Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and PunishmentThe knowledge of some things as a function of age is a delta function.

Re: A few questions

anonimnystefy wrote:

Hi Agnishom

You can still use that.

The number of digits of a number is floor(log_10(that number))+1.

Thats correct

Now, how do I do that to 5^44 without a calculator?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.''God exists because Mathematics is consistent, and the devil exists because we cannot prove it'I'm not crazy, my mother had me tested.

Re: A few questions

Well you can approximate the logarithm...

Here lies the reader who will never open this book. He is forever dead.Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and PunishmentThe knowledge of some things as a function of age is a delta function.